GATE 2021 MT – Question 28
A body has stress tensor $\begin{bmatrix}50&0&0\\0&200&0\\0&0&100\end{bmatrix}$ MPa. For yielding under Tresca’s criterion, its uniaxial tensile yield stress must be less than or equal to ______ MPa (nearest integer).
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Correct answer: 150 to 150
Explanation
The principal stresses are 200,100,50 MPa. Tresca equivalent stress is σmax−σmin=150 MPa. Yield occurs when this reaches or exceeds uniaxial yield stress, so the maximum allowable yield-stress threshold is **150 MPa**.